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54133352 = 23713235361
BaseRepresentation
bin1100111010000…
…0001001101000
310202212020222222
43032200021220
5102324231402
65212133212
71225061120
oct316401150
9122766888
1054133352
1128614209
1216167208
13b2a4890
147291c80
154b447a2
hex33a0268

54133352 has 128 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 19768320.

The previous prime is 54133327. The next prime is 54133357. The reversal of 54133352 is 25333145.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (54133357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887402 + ... + 887462.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 254133352 is an apocalyptic number.

54133352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54133352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

54133352 is an abundant number, since it is smaller than the sum of its proper divisors (80858008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54133352 is a wasteful number, since it uses less digits than its factorization.

54133352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 5400, while the sum is 26.

The square root of 54133352 is about 7357.5370879120. The cubic root of 54133352 is about 378.2871943752.

Adding to 54133352 its reverse (25333145), we get a palindrome (79466497).

The spelling of 54133352 in words is "fifty-four million, one hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 53 56 61 91 92 104 106 122 161 182 184 212 244 299 322 364 371 424 427 488 598 644 689 728 742 793 854 1196 1219 1288 1378 1403 1484 1586 1708 2093 2392 2438 2756 2806 2968 3172 3233 3416 4186 4823 4876 5512 5551 5612 6344 6466 8372 8533 9646 9752 9821 11102 11224 12932 15847 16744 17066 18239 19292 19642 22204 22631 25864 31694 34132 36478 38584 39284 42029 44408 45262 63388 68264 72956 74359 78568 84058 90524 110929 126776 127673 145912 148718 168116 181048 221858 255346 294203 297436 336232 443716 510692 520513 588406 594872 887432 966667 1021384 1041026 1176812 1933334 2082052 2353624 3866668 4164104 6766669 7733336 13533338 27066676 54133352